Self‐similar solution of a plane‐strain fracture driven by a power‐law fluid

By J. Adachi, Emmanuel Detournay. 2002

205 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/2e37d620e89bb33b9bb867680324179326fbde42

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In Mechanical Engineering

In Mechanics of Materials

In Ocean Engineering

Citations in the corpus

An extended finite element method for hydraulic fracture problems (2009, background): “The first-order approximation of the zero toughness solution is given by [5, 23] *mo ≈ 0.”
Injection-Sensitive Mechanics of Hydraulic Fracture Interaction with Discontinuities (2014, background): “…coupled fracture propagation in a planar geometry has been thoroughly studied analytically (Garagash 2006; Garagash and Detournay 2000, 2005, 2007; Adachi and Detournay 2002; Detournay 2004), the accurate coupled solution of the equations for the whole process of HF–NF interaction, including HF…”
Coupling schemes for modeling hydraulic fracture propagation using the XFEM (2013, methodology): “The advantage of this scheme is that it can treat problems in which the fluid pressure is singular at the crack tips, such as the viscous mode of crack propagation [27,16].”
A model for turbulent hydraulic fracture and application to crack propagation at glacier beds (2010, methodology): “We then adapt the plane‐strain asymptotic crack solution of Desroches et al. (1994) and the power law self‐similar solution of Adachi and Detournay (2002) for that case to calculate the desired quantities.”
Plane-strain propagation of a fluid-driven fracture during injection and shut-in: Asymptotics of large toughness (2006, background): “(Zero-inertia) Dependence of dimensionless crack half-length on dimensionless viscosity M for a constant injection rate: (i) zeroviscosity and zero-toughness [14] solutions are shown by dashed lines; (ii) improved small viscosity and small-toughness [11] asymptotic solutions are shown by solid lines”
Hydraulic fracture revisited: Particle velocity based simulation (2015, methodology): “Results by Adachi and Detournay (2002) are denoted in the figures as Adachi 2002.”
Implicit level set schemes for modeling hydraulic fractures using the XFEM (2013, methodology): “The XFEM solutions are compared to the M-vertex analytic solution [18,19], which is also used to generate initial solutions for the simulations.”
On the moving boundary conditions for a hydraulic fracture (2014, background): “…efforts have led to a series of accurate benchmark solutions for simple hydraulic fracture geometries (with zero lag): plane strain (Adachi, 2001; Adachi & Detournay, 2002, 2008; Garagash, 2006a, 2006b; Garagash & Detournay, 2005; Hu & Garagash, 2010) and radial (Bunger, Detournay, & Garagash,…”
An Asymptotic Framework for the Analysis of Hydraulic Fractures: The Impermeable Case (2007, methodology): “Previous analyses [21, 23 ,24,26,28,30] have been limited to parameter regimes in which one or two physical processes dominate the dynamics, with the remainder of the related non-dimensional quantities set to zero.”
Computer simulation of hydraulic fractures (2007, background): “Within this framework, semi-analytical and numerical solutions have been developed for simple geometries (KGD and penny-shaped) for different asymptotic regimes, such as zero toughness impermeable [47–49]; small toughness impermeable [50]; finite toughness impermeable [51,26]; large toughness imperm”